4800430864152 has 384 divisors, whose sum is σ = 17302707302400. Its totient is φ = 1164601670400.

The previous prime is 4800430864147. The next prime is 4800430864183. The reversal of 4800430864152 is 2514680340084.

4800430864152 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 430 + 8 + 64 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4800430864098 and 4800430864107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7157923 + ... + 7799789.

It is an arithmetic number, because the mean of its divisors is an integer number (45059133600).

Almost surely, 2^{4800430864152} is an apocalyptic number.

4800430864152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800430864152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651353651200).

4800430864152 is an abundant number, since it is smaller than the sum of its proper divisors (12502276438248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4800430864152 is a wasteful number, since it uses less digits than its factorization.

4800430864152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641987 (or 641980 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4800430864152 in words is "four trillion, eight hundred billion, four hundred thirty million, eight hundred sixty-four thousand, one hundred fifty-two".